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Finding the Third Proportional to 20,731 and 31,883

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Solution

The third proportional to 20,731 and 31,883 is: 49,034.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,731 : 31,883 = 31,883 : x
  2. Step 2: Convert to fraction form
    20,731/31,883 = 31,883/x
  3. Step 3: Cross multiply
    20,731x = 31,883 × 31,883
  4. Step 4: Simplify right side
    20,731x = 1,016,525,689
  5. Step 5: Solve for x
    x = 1,016,525,689/20,731
  6. Step 6: Final answer
    x = 49,034.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.